| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo, SP - Brazil
[2] Univ Texas Arlington, Arlington, TX 76019 - USA
[3] Univ Fed ABC, BR-09210580 Santo Andre, SP - Brazil
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | INTERNATIONAL MATHEMATICS RESEARCH NOTICES; v. 2019, n. 5, p. 1463-1478, MAR 2019. |
| Web of Science Citations: | 1 |
| Abstract | |
We prove a uniqueness theorem for irreducible non-critical Gelfand-Tsetlin modules. The uniqueness result leads to a complete classification of the irreducible Gelfand-Tsetlin modules with -singularity. An explicit construction of such modules was given in Futorny et al. {[}7]. In particular, we show that the modules constructed in Futorny et al. {[}7] exhaust all irreducible Gelfand-Tsetlin modules with -singularity. To prove the result, we introduce a new category of modules (called Drinfeld category) related to the Drinfeld generators of the Yangian and define a functor from the category of non-critical Gelfand-Tsetlin modules to the Drinfeld category. (AU) | |
| FAPESP's process: | 14/09310-5 - Algebraic structures and their representations |
| Grantee: | Vyacheslav Futorny |
| Support Opportunities: | Research Projects - Thematic Grants |